Online GCD Calculator is useful to find the GCD of 738, 921, 927, 522 quickly. Get the easiest ways to solve the greatest common divisor of 738, 921, 927, 522 i.e 3 in different methods as follows.
Given Input numbers are 738, 921, 927, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (738, 921, 927, 522) = 3.
Given numbers are 738, 921, 927, 522
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 921 are 3 x 307
Prime factors of 927 are 3 x 3 x 103
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 738, 921, 927, 522 is 3.
Given numbers are 738, 921, 927, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 921) = 226566
GCD(738, 921) = ( 738 x 921 ) / 226566
= 738 / 921
= 738
Step2:
LCM(3, 927) = 927
GCD(3, 927) = ( 3 x 927 ) / 927
= 3 / 927
= 3
Step3:
LCM(3, 522) = 522
GCD(3, 522) = ( 3 x 522 ) / 522
= 3 / 522
= 3
So, Greatest Common Divisor of 738, 921, 927, 522 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 921, 927, 522
The greatest common divisor of numbers 738, 921, 927, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 921, 927, 522 is 3.
1. What is the GCD of 738, 921, 927, 522?
GCD of given numbers 738, 921, 927, 522 is 3
2. How to calculate the greatest common divisor of 738, 921, 927, 522?
We can find the highest common divisor of 738, 921, 927, 522 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 738, 921, 927, 522 i.e 3.
3. How can I use the GCD of 738, 921, 927, 522Calculator?
Out the numbers 738, 921, 927, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.